In order to determine the mixing zone in a river downstream from the outfall of

Question

In order to determine the mixing zone in a river downstream from the outfall of a municipal wastewater treatment plant, a conservative (non-reactive) tracer will he injected into the treated effluent from the wastewater treatment plant just prior to the outfall pipeline's flow entering the river. The equipment used to measure the tracer cannot detect a concentration below 0.1 mg/l. The tracer has a 50,000 mg/I concentration. The river has a 189 FT^3/SEC flow rate during the tracer test. What minimum pumping rate in gallons per minute must the pump used to transfer tracer into the outfall pipeline have to be to insure that the tracer concentration at the end of the mixing zone is at least within the capabilities of the equipment used to measure tracer concentration. You may assume that the capacity of the tracer pump is negligible when compared to the flow in the river.

Explanation / Answer

the minimum concentration required to be detected is 0.1mg/lt

flow of river is 189ft3/sec => 189* 28.316 lt /sec => 5351.72 lt/sec ...1)

let x be the pumping volume/sec of tracer then to meet the desire result

x* 50000 = 5351.72*(0.1)

x= 0.0107 lt/sec = 0.169 gallons/ minute

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